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Finding the Third Proportional to 1,105.88 and 2,406.94

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Solution

The third proportional to 1,105.88 and 2,406.94 is: 5,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.88 : 2,406.94 = 2,406.94 : x
  2. Step 2: Convert to fraction form
    1,105.88/2,406.94 = 2,406.94/x
  3. Step 3: Cross multiply
    1,105.88x = 2,406.94 × 2,406.94
  4. Step 4: Simplify right side
    1,105.88x = 5,793,348.13
  5. Step 5: Solve for x
    x = 5,793,348.13/1,105.88
  6. Step 6: Final answer
    x = 5,238.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.